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21245722416 = 243374366191
BaseRepresentation
bin10011110010010101…
…111111111100110000
32000211122120112011000
4103302111333330300
5322002401104131
613432105322000
71351326442452
oct236225777460
960748515130
1021245722416
119012724786
12414b196300
1320077ba4a9
1410579182d2
158452d8ce6
hex4f257ff30

21245722416 has 80 divisors (see below), whose sum is σ = 61066091520. Its totient is φ = 7072269120.

The previous prime is 21245722367. The next prime is 21245722429. The reversal of 21245722416 is 61422754212.

21245722416 is a `hidden beast` number, since 21 + 24 + 572 + 2 + 41 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 287881 + ... + 354071.

It is an arithmetic number, because the mean of its divisors is an integer number (763326144).

Almost surely, 221245722416 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21245722416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30533045760).

21245722416 is an abundant number, since it is smaller than the sum of its proper divisors (39820369104).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

21245722416 is a wasteful number, since it uses less digits than its factorization.

21245722416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66951 (or 66939 counting only the distinct ones).

The product of its digits is 53760, while the sum is 36.

The spelling of 21245722416 in words is "twenty-one billion, two hundred forty-five million, seven hundred twenty-two thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 432 743 1486 2229 2972 4458 5944 6687 8916 11888 13374 17832 20061 26748 35664 40122 53496 66191 80244 106992 132382 160488 198573 264764 320976 397146 529528 595719 794292 1059056 1191438 1588584 1787157 2382876 3177168 3574314 4765752 7148628 9531504 14297256 28594512 49179913 98359826 147539739 196719652 295079478 393439304 442619217 590158956 786878608 885238434 1180317912 1327857651 1770476868 2360635824 2655715302 3540953736 5311430604 7081907472 10622861208 21245722416